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Finding the Fourth Proportional to 206.80, 308.89 and 155.17

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Solution

The fourth proportional to 206.80, 308.89 and 155.17 is: 231.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.80 : 308.89 = 155.17 : x
  2. Step 2: Convert to fraction form
    206.80/308.89 = 155.17/x
  3. Step 3: Cross multiply
    206.80x = 308.89 × 155.17
  4. Step 4: Simplify right side
    206.80x = 47,928.92
  5. Step 5: Solve for x
    x = 47,928.92/206.80
  6. Step 6: Final answer
    x = 231.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.